Paper Citation Record · LEDGER

Local and non-local $p$-energies on metric measure spaces

As of 19 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 0 inbound Pith citation observations for arXiv:2602.10990.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2602.10990 v2

Coverage vector

measured 48 of 48 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T01:00:25.482384Z

measured 48 of 48 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

48 of 48 outbound references displayed

verified exact0
verified fuzzy0
unresolved48
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9baeed1e-d535-4f40-8cac-aba8bfc4cb6e · outbound

This paper cites John-Nirenberg lemmas for a doubling measure.Studia Math., 204(1):21–37, 2011.

Local and non-local $p$-energies on metric measure spaces John-Nirenberg lemmas for a doubling measure.Studia Math., 204(1):21–37, 2011

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T01:00:25.335080Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f0e538ab-e71d-4e69-bb07-a30ff5a9a1a0 · outbound

This paper cites Korevaar-Schoenp-energies and their Γ-limits on Cheeger spaces.Nonlinear Anal., 256:Paper No.

Local and non-local $p$-energies on metric measure spaces Korevaar-Schoenp-energies and their Γ-limits on Cheeger spaces.Nonlinear Anal., 256:Paper No

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-03T01:00:25.338908Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ba9e8a2b-a37b-4e4d-aaca-6780df6e3180 · outbound

This paper cites an unresolved cited work.

Local and non-local $p$-energies on metric measure spaces Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-03T01:00:25.342679Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fea0ae2f-56c6-4987-a8f3-33a9883d0d6e · outbound

This paper cites An approach to sub-Gaussian heat kernel estimates via analysis on metric spaces.arXiv e-prints, page arXiv:2509.04155v2, September 2025.

Local and non-local $p$-energies on metric measure spaces An approach to sub-Gaussian heat kernel estimates via analysis on metric spaces.arXiv e-prints, page arXiv:2509.04155v2, September 2025

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-03T01:00:25.346617Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4efd627d-3382-48cd-b521-5df61751cb42 · outbound

This paper cites Construction of self-similar energy forms and singularity of Sobolev spaces on Laakso-type fractal spaces.

Local and non-local $p$-energies on metric measure spaces Construction of self-similar energy forms and singularity of Sobolev spaces on Laakso-type fractal spaces

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-03T01:00:25.350124Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f146d7a3-12bf-4622-bce1-7a254b624ca5 · outbound

This paper cites Barlow and Richard F.

Local and non-local $p$-energies on metric measure spaces Barlow and Richard F

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-03T01:00:25.353960Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d3225321-6786-40db-ac29-d9238f2dea85 · outbound

This paper cites Barlow, Alexander Grigor’yan, and Takashi Kumagai.

Local and non-local $p$-energies on metric measure spaces Barlow, Alexander Grigor’yan, and Takashi Kumagai

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-03T01:00:25.357472Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8af1db58-83e8-4cee-8244-812682a4bbc5 · outbound

This paper cites Korevaar-Schoen-Sobolev spaces and critical exponents in metric measure spaces.Ann.

Local and non-local $p$-energies on metric measure spaces Korevaar-Schoen-Sobolev spaces and critical exponents in metric measure spaces.Ann

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-03T01:00:25.360356Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c64113ff-7efe-4165-a2f1-ab0d50640535 · outbound

This paper cites Sobolev spaces and Poincar´ e inequalities on the Vicsek fractal.Ann.

Local and non-local $p$-energies on metric measure spaces Sobolev spaces and Poincar´ e inequalities on the Vicsek fractal.Ann

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-03T01:00:25.363145Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e23a54f2-a674-465e-9d4b-f944192b8f4d · outbound

This paper cites A Saint-Venant type principle for Dirichlet forms on discontinuous media.Ann.

Local and non-local $p$-energies on metric measure spaces A Saint-Venant type principle for Dirichlet forms on discontinuous media.Ann

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-03T01:00:25.366185Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0e4d416a-78b2-4fe2-b0c6-85eeda053e1b · outbound

This paper cites European Mathematical Society (EMS), Z¨ urich, 2011.

Local and non-local $p$-energies on metric measure spaces European Mathematical Society (EMS), Z¨ urich, 2011

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-03T01:00:25.369391Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b3ce6c74-2c29-4329-81e3-f92fb1903207 · outbound

This paper cites Regularity of jump-type Dirichlet forms on metric measure spaces.preprint, 2025.

Local and non-local $p$-energies on metric measure spaces Regularity of jump-type Dirichlet forms on metric measure spaces.preprint, 2025

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-03T01:00:25.372634Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 11554092-713a-4241-acfd-0ccd9afb3093 · outbound

This paper cites p-energies on p.c.f.

Local and non-local $p$-energies on metric measure spaces p-energies on p.c.f

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-03T01:00:25.376505Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 06bb7c2d-c132-4a1f-aeb4-257cf8387af0 · outbound

This paper cites Besov-Lipschitz norm and p-en-ergy measure on scale-irregular Vicsek sets.J.

Local and non-local $p$-energies on metric measure spaces Besov-Lipschitz norm and p-en-ergy measure on scale-irregular Vicsek sets.J

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-03T01:00:25.379812Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bb3ba02d-0dba-41bc-8110-dfcb4b222f0e · outbound

This paper cites Elliptic Harnack inequalities for mixed local and nonlocal p-energy form on metric measure spaces.arXiv e-prints, page arXiv:2510.12404v2, October 2025.

Local and non-local $p$-energies on metric measure spaces Elliptic Harnack inequalities for mixed local and nonlocal p-energy form on metric measure spaces.arXiv e-prints, page arXiv:2510.12404v2, October 2025

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-03T01:00:25.382668Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e27eaf64-936d-44a9-96e2-0f667551acad · outbound

This paper cites Elliptic Harnack inequalities for symmetric non-local Dirichlet forms.J.

Local and non-local $p$-energies on metric measure spaces Elliptic Harnack inequalities for symmetric non-local Dirichlet forms.J

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-03T01:00:25.385576Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1fbca2ff-89b4-4f51-85fa-52cf9f9a3fe8 · outbound

This paper cites Stability of parabolic Harnack inequalities for symmetric non-local Dirichlet forms.J.

Local and non-local $p$-energies on metric measure spaces Stability of parabolic Harnack inequalities for symmetric non-local Dirichlet forms.J

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-03T01:00:25.388542Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a20300c6-f7a7-4eb5-b9b4-bb4ed5562a93 · outbound

This paper cites Stability of heat kernel estimates for symmetric non-local Dirichlet forms.Mem.

Local and non-local $p$-energies on metric measure spaces Stability of heat kernel estimates for symmetric non-local Dirichlet forms.Mem

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-03T01:00:25.391639Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a612ae93-5fa4-4a5b-a600-033bd85105fd · outbound

This paper cites Nonlocal Harnack inequali- ties.J.

Local and non-local $p$-energies on metric measure spaces Nonlocal Harnack inequali- ties.J

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-03T01:00:25.395219Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9eedd296-efe1-4043-825e-7f585aec26be · outbound

This paper cites Local behavior of fractional p-minimizers.Ann.

Local and non-local $p$-energies on metric measure spaces Local behavior of fractional p-minimizers.Ann

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-03T01:00:25.398110Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bb5c05b1-70f5-4413-a70e-30118da6aa59 · outbound

This paper cites On the Resistance Conjecture.arXiv e-prints, page arXiv:2602.05477, February 2026.

Local and non-local $p$-energies on metric measure spaces On the Resistance Conjecture.arXiv e-prints, page arXiv:2602.05477, February 2026

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-03T01:00:25.401235Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dc392e5c-0a33-4af2-b93b-20285a0b1926 · outbound

This paper cites Trudinger.Elliptic partial differential equations of second order.

Local and non-local $p$-energies on metric measure spaces Trudinger.Elliptic partial differential equations of second order

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-03T01:00:25.404119Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 34d50fc2-a005-4aaf-9cb2-669e629b17dc · outbound

This paper cites Interpolation properties of Besov spaces defined on metric spaces.Math.

Local and non-local $p$-energies on metric measure spaces Interpolation properties of Besov spaces defined on metric spaces.Math

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-03T01:00:25.406819Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 75d919f0-0130-44f9-89b0-8b232b1021f2 · outbound

This paper cites Springer, New York, third edition, 2014.

Local and non-local $p$-energies on metric measure spaces Springer, New York, third edition, 2014

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-03T01:00:25.409733Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7ce4e143-4064-4032-9109-542ebceb63ae · outbound

This paper cites Two-sided estimates of heat kernels of jump type Dirichlet forms.Adv.

Local and non-local $p$-energies on metric measure spaces Two-sided estimates of heat kernels of jump type Dirichlet forms.Adv

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-03T01:00:25.412548Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 74aba456-b4cd-4d17-a06a-0aef6249e130 · outbound

This paper cites Mean value inequality and generalized capacity on doubling spaces.Pure Appl.

Local and non-local $p$-energies on metric measure spaces Mean value inequality and generalized capacity on doubling spaces.Pure Appl

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-03T01:00:25.415495Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d276f6ce-175a-4ab5-86eb-ddfdf82ca7fc · outbound

This paper cites Estimates of heat kernels for non-local regular Dirichlet forms.Trans.

Local and non-local $p$-energies on metric measure spaces Estimates of heat kernels for non-local regular Dirichlet forms.Trans

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-03T01:00:25.418853Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 27cfd436-78cb-498a-aaf1-782c1de30f44 · outbound

This paper cites Heat kernels on metric measure spaces.

Local and non-local $p$-energies on metric measure spaces Heat kernels on metric measure spaces

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-03T01:00:25.421707Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2e9191c1-6bf7-468b-9eed-ab94a62810ae · outbound

This paper cites Generalized capacity, Harnack inequality and heat kernels of Dirichlet forms on metric measure spaces.J.

Local and non-local $p$-energies on metric measure spaces Generalized capacity, Harnack inequality and heat kernels of Dirichlet forms on metric measure spaces.J

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-03T01:00:25.424291Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ce97c020-b54d-4504-b555-11aa794b4bb2 · outbound

This paper cites Strichartz.

Local and non-local $p$-energies on metric measure spaces Strichartz

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-03T01:00:25.426856Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d32afae2-9ca9-49e2-93c3-a2a4f3700143 · outbound

This paper cites Contraction properties and differentiability of $p$-energy forms with applications to nonlinear potential theory on self-similar sets.

Local and non-local $p$-energies on metric measure spaces Contraction properties and differentiability of $p$-energy forms with applications to nonlinear potential theory on self-similar sets

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-03T01:00:25.429882Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bbc9b910-3443-4352-8e6e-d460bf7ee012 · outbound

This paper cites European Mathematical Society (EMS), Berlin, [2023]©2023.

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-03T01:00:25.433234Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 402d8d5b-1865-4287-8712-6195e27ccc3d · outbound

This paper cites The Wiener criterion for nonlocal Dirichlet problems.Comm.

Local and non-local $p$-energies on metric measure spaces The Wiener criterion for nonlocal Dirichlet problems.Comm

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-03T01:00:25.436110Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 44f2f27c-17b9-4d27-8709-0271e9fa5ae4 · outbound

This paper cites Some remarks for stable-like jump processes on fractals.

Local and non-local $p$-energies on metric measure spaces Some remarks for stable-like jump processes on fractals

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-03T01:00:25.439614Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3aef902c-fb99-4297-a8b6-05f90a0662bb · outbound

This paper cites Fractional eigenvalues.Calc.

Local and non-local $p$-energies on metric measure spaces Fractional eigenvalues.Calc

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-03T01:00:25.442957Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 736b47d8-52fd-4714-a7de-3749b8575975 · outbound

This paper cites Perron’s method and Wiener’s theorem for a nonlocal equation.Potential Anal., 46(4):705–737, 2017.

Local and non-local $p$-energies on metric measure spaces Perron’s method and Wiener’s theorem for a nonlocal equation.Potential Anal., 46(4):705–737, 2017

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-03T01:00:25.446240Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0c6635ae-eb87-457f-a6db-d4537e7644e0 · outbound

This paper cites Heat kernel for reflected diffusion and extension property on uniform domains.Probab.

Local and non-local $p$-energies on metric measure spaces Heat kernel for reflected diffusion and extension property on uniform domains.Probab

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-03T01:00:25.449448Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 610207fd-9336-4608-85f1-22bccd26789e · outbound

This paper cites A simplified characterization of stable-like heat kernel estimates.

Local and non-local $p$-energies on metric measure spaces A simplified characterization of stable-like heat kernel estimates

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-03T01:00:25.452225Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9ab73e8f-3c32-4746-a31d-ee8c6dbef892 · outbound

This paper cites First-order Sobolev spaces, self-similar energies and energy measures on the Sierpi´ nski carpet.Comm.

Local and non-local $p$-energies on metric measure spaces First-order Sobolev spaces, self-similar energies and energy measures on the Sierpi´ nski carpet.Comm

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-03T01:00:25.455389Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 64c4ff60-66ad-4e7a-b2bd-2e0f01811c48 · outbound

This paper cites Limiting behaviour of Dirichlet forms for stable processes on metric spaces.Bull.

Local and non-local $p$-energies on metric measure spaces Limiting behaviour of Dirichlet forms for stable processes on metric spaces.Bull

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-03T01:00:25.458588Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a8ed9bd3-de75-49bc-a95f-fce32d4335ae · outbound

This paper cites Construction of $p$-energy measures associated with strongly local $p$-energy forms.

Local and non-local $p$-energies on metric measure spaces Construction of $p$-energy measures associated with strongly local $p$-energy forms

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-03T01:00:25.461658Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c67eb9d9-f0d9-4c4d-80da-83c3ff2996fe · outbound

This paper cites Construction of p-energy and associated energy measures on Sierpi´ nski carpets.Trans.

Local and non-local $p$-energies on metric measure spaces Construction of p-energy and associated energy measures on Sierpi´ nski carpets.Trans

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-03T01:00:25.465086Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f79df0d3-ea6c-4a5d-8ec7-ed454c84c684 · outbound

This paper cites Characterizations of Sobolev functions via Besov-type energy func- tionals in fractals.Potential Anal., 63(4):2121–2156, 2025.

Local and non-local $p$-energies on metric measure spaces Characterizations of Sobolev functions via Besov-type energy func- tionals in fractals.Potential Anal., 63(4):2121–2156, 2025

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-03T01:00:25.468013Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a0a406fd-f3bf-45a7-a3f0-80f838e44e6f · outbound

This paper cites A direct proof of the cutoff Sobolev inequality on the Sierpi´ nski gasket.

Local and non-local $p$-energies on metric measure spaces A direct proof of the cutoff Sobolev inequality on the Sierpi´ nski gasket

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-03T01:00:25.470999Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c0555ff4-cbf4-4efc-a909-b1ef127c2571 · outbound

This paper cites Energy inequalities for cutoff functions of p-energies on metric measures spaces.arXiv e-prints, page arXiv:2507.08577v4, July 2025.

Local and non-local $p$-energies on metric measure spaces Energy inequalities for cutoff functions of p-energies on metric measures spaces.arXiv e-prints, page arXiv:2507.08577v4, July 2025

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-03T01:00:25.473890Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 45f2506a-5535-4190-bab2-f009ef2e7726 · outbound

This paper cites On singularity of $p$-energy measures on metric measure spaces.

Local and non-local $p$-energies on metric measure spaces On singularity of $p$-energy measures on metric measure spaces

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-03T01:00:25.476585Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2923d063-a93b-4b22-9934-24fcc73af75c · outbound

This paper cites On the dichotomy of p-walk dimensions on metric measure spaces.arXiv e-prints, page arXiv:2509.08641v2, September 2025.

Local and non-local $p$-energies on metric measure spaces On the dichotomy of p-walk dimensions on metric measure spaces.arXiv e-prints, page arXiv:2509.08641v2, September 2025

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-03T01:00:25.479692Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b3e37da7-9275-457f-85aa-c028b76629dd · outbound

This paper cites $p$-Poincar\'e inequalities and cutoff Sobolev inequalities on metric measure spaces.

Local and non-local $p$-energies on metric measure spaces $p$-Poincar\'e inequalities and cutoff Sobolev inequalities on metric measure spaces

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-03T01:00:25.482384Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.